2016/01/31 by Alexander C. Tiegel, Thomas Veness, Piet E. Dargel +6
Physics and Astronomy · #Condensed matter physics #Conductivity #Density matrix renormalization group #Hubbard model #Impurity #Mathematical physics #Omega #Optical conductivity #Order (exchange) #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Sigma #Superconductivity #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.93.125108
published as Phys. Rev. B 93, 125108 (2016) · 6 pages, 5 figures; final version
openalex publication_date 2016/03/03 · arxiv created 2016/03/22 · arxiv updated 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the optical conductivity \ensuremathσ1(\ensuremathω) in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of the correction-vector approach, \ensuremathσ1(\ensuremathω) is computed for a range of interaction strengths and dopings. We identify an energy scale Eopt above which the optical conductivity shows a rapid increase. We then use a mobile impurity model in combination with exact results to determine the behavior of \ensuremathσ1(\ensuremathω) for frequencies just above Eopt which is in agreement with our numerical data. As a main result, we find that this onset behavior is not described by a power law.